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http://functions.wolfram.com/07.23.03.anrw.01
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Hypergeometric2F1[6, 6, -(13/4), z] == (1/104689827840)
(-((1/(-1 + z)^15) (8 (13086228480 - 341248573440 z + 5126781665280 z^2 -
71788566413312 z^3 + 2835600692477952 z^4 + 19975444017411015 z^5 +
32702366514396880 z^6 + 16748354761819440 z^7 + 2533958460172032 z^8 +
73945123061248 z^9))) - (1/(1 - z)^(61/4))
(8216658450 Sqrt[2] z^(17/4) (1239315 + 5901500 z + 7553920 z^2 +
3125760 z^3 + 378880 z^4 + 8192 z^5)
ArcTan[1 - z^(1/4)/(Sqrt[2] (1 - z)^(1/4)),
-(z^(1/4)/(Sqrt[2] (1 - z)^(1/4)))]) - (1/(1 - z)^(61/4))
(8216658450 Sqrt[2] z^(17/4) (1239315 + 5901500 z + 7553920 z^2 +
3125760 z^3 + 378880 z^4 + 8192 z^5)
ArcTan[1 + z^(1/4)/(Sqrt[2] (1 - z)^(1/4)),
-(z^(1/4)/(Sqrt[2] (1 - z)^(1/4)))]) + (1/(1 - z)^(61/4))
(4108329225 Sqrt[2] z^(17/4) (1239315 + 5901500 z + 7553920 z^2 +
3125760 z^3 + 378880 z^4 + 8192 z^5)
Log[1 - (Sqrt[2] z^(1/4))/(1 - z)^(1/4) + Sqrt[z]/Sqrt[1 - z]]) -
(1/(1 - z)^(61/4)) (4108329225 Sqrt[2] z^(17/4) (1239315 + 5901500 z +
7553920 z^2 + 3125760 z^3 + 378880 z^4 + 8192 z^5)
Log[1 + (Sqrt[2] z^(1/4))/(1 - z)^(1/4) + Sqrt[z]/Sqrt[1 - z]]))
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mrow> <msub> <mo>   </mo> <mn> 2 </mn> </msub> <msub> <mi> F </mi> <mn> 1 </mn> </msub> </mrow> <mo> ⁡ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 6 </mn> <mo> , </mo> <mn> 6 </mn> </mrow> <mo> ; </mo> <mrow> <mo> - </mo> <mfrac> <mn> 13 </mn> <mn> 4 </mn> </mfrac> </mrow> <mo> ; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["6", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["6", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], 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Date Added to functions.wolfram.com (modification date)
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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] | |
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